Question
आंशिक कीलकन द्वारा निम्नलिखित रैखिक समीकरण निकाय Ax=b का हल ज्ञात कीजिए।
गुणकों को संचित कीजिए और कीलकन सदिश भी लिखिए
Answer :
Word Count : 679
हम दिए गए रैखिक समीकरणों के निकाय को आंशिक कीलकन (Partial Pivoting) द्वारा हल करेंगे। #### दिया गया समीकरण निकाय (Ax = b) \[ \begin{aligned} x_1 - x_2 + 3x_3 &= 3 \\ 2x_1 + x_2 + 4x_3 &= 7 \\ 3x_1 + 5x_2 - 2x_3 &= 6 \end{aligned} \] ### 1. गुणांक मैट्रिक्स (A) और सदिश (b) लिखना \[ A = \begin{bmatrix} 1 & -1 & 3 \\ 2 & 1 & 4 \\ 3 & 5 & -2 \end{bmatrix} \] \[ b = \begin{bmatrix} 3 \\ 7 \\ 6 \end{bmatrix} \] अब गाउस उन्मूलन (Gaussian Elimination) आंशिक कीलकन (Partial Pivoting) के साथ करते हैं। --- ### 2. आंशिक कीलकन लागू करें _____ ________ _____ ____ _____ __________ _____ ______ _________ ___ ______ __________.
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हम दिए गए रैखिक समीकरणों के निकाय को आंशिक कीलकन (Partial Pivoting) द्वारा हल करेंगे। #### दिया गया समीकरण निकाय (Ax = b) \[ \begin{aligned} x_1 - x_2 + 3x_3 &= 3 \\ 2x_1 + x_2 + 4x_3 &= 7 \\ 3x_1 + 5x_2 - 2x_3 &= 6 \end{aligned} \] ### 1. गुणांक मैट्रिक्स (A) और सदिश (b) लिखना \[ A = \begin{bmatrix} 1 & -1 & 3 \\ 2 & 1 & 4 \\ 3 & 5 & -2 \end{bmatrix} \] \[ b = \begin{bmatrix} 3 \\ 7 \\ 6 \end{bmatrix} \] अब गाउस उन्मूलन (Gaussian Elimination) आंशिक कीलकन (Partial Pivoting) के साथ करते हैं। --- ### 2. आंशिक कीलकन लागू करें _____ ________ _____ ____ _____ __________ _____ ______ _________ ___ ______ __________.
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